There are plenty of part-time remote consulting opportunities in software, if you can already demonstrate your worth in a valuable niche.
But there are relatively few part-time employment opportunities - the 5-day, 40 hour week "company man" idea still holds with many employers. If you're not already an expert in some field, employers will see hiring you as a long-term, full-time investment that deserves a similar commitment in turn.
Probably not the answer you're looking for but a path I've seen coworkers take:
1- Start full-time on site.
2- Move full-time remote.
3- Switch part-time remote.
Between each step is several months of implicitly proving that you'd still be valuable even with the changes.
Part time remote work is available anecdotally.
Statistically, it doesn’t exist.
Which is to say that only a tiny sliver of jobs are part time remote and generally, they only exist because of an established relationship between a particular employee and a particular employer.
Basically, the employer creates a part time remote position for someone they know.
Open call part time remote work looks like Amazon Mechanical Turk.
Again, anecdotally this isn’t always the case. But statistically it is probably >99.99%.
So relationships are the most likely way to find such work.
Good luck.
Here is a hack:
1. Find a full time remote job
2. Do amazing and become very valuable to the team
3. Start telling your boss/team that you are considering doing a few less hours per week. See their reaction. Remember, you only do this IF you are very valuable/important to the team already.
4. Make a formal request to switch to part time with a plan on how you will work during the week to get things done.
5. Profit
A bunch of people already touched on probably the easiest way to do it: converting your full-time job to part time. I wrote about it here if it's helpful to you: https://parttimetech.substack.com/p/easiest-part-time-tech-j....
If that's not an option or doesn't work, there are agencies like https://www.forward.id/ that try to connect people to fractional work, and I created a job board as well https://parttimetech.io.
Good luck!